Scanning probe microscope with probe formed by single conductive material

ABSTRACT

In a scanning probe microscope a probe associated with its sharp end includes a single conductive material.

BACKGROUND OF THE INVENTION

[0001] 1. Field of the Invention

[0002] The present invention relates to a scanning probe microscope such as a scanning capacitance microscope (ScaM),

[0003] 2. Description of the Related Art

[0004] A prior art scanning probe microscope includes a conductive probe unit which is constructed by a cantilever and a probe at its free end (see: JP-A-8-54403). The cantilever is adapted to be approximately in parallel with a surface of a sample, and the probe is in proximity to the surface of the sample. In this case, the cantilever associated with the probe is made of monocrystalline silicon covered by silicon oxide or silicon nitride and metal coated on the monocrystalline silicon. Thus, the cantilever serves as a spring. This will be explained later in detail.

[0005] In the above-described prior art scanning probe microscope, since the coated metal of the cantilever is so thin that the coated metal has a high impedance, i.e., a low conductivity, the sensitivity of a sensor connected to the probe is substantially decreased. Also, since the coated metal of the cantilever has a larger surface to create a large stray capacitance between the cantilever and the sample, a signal generated from the probe is suppressed by the large stray capacitance. Further, since the radius of curvature of the tip portion of the probe is large, the spatial resolution cannot be increased, In order to increase the spatial resolution, the coated metal has to be made thinner to decrease the radius of curvature of the tip portion thereof; however, this further increases the impedance of the coated metal. In addition, the coated metal is easily peeled off by the friction between the coated metal and the sample. Further, Joule heat generated stays at the tip portion of the probe to dissolve the coated metal at the tip portion of the probe Thus, the conductivity of the coated metal is decreased.

SUMMARY OF THE INVENTION

[0006] It is an object of the present invention to provide a scanning probe microscope constructed by a conductive probe capable of having a low impedance, a small stray capacitance, a small radius of curvature at the tip portion thereof, and preventing the tip portion from being peeled off and dissolved.

[0007] Another object is to provide a scanning probe microscope capable of simply obtaining a concentration of majority carriers in equilibrium or a concentration of departs in a semiconductor device.

[0008] Still another object is to provide a conductive probe for use in the above-mentioned scanning probe microscope.

[0009] According to the present invention, a probe for use in a scanning probe microscope includes a single conductive material having a sharp end, Also, a scanning probe microscope for a sample is constructed by a probe having a conductive sharp end; a moving unit for moving the sample along a Z-direction and moving the sample in X- and Y-directions; a vibrating unit for vibrating the probe along a direction approximately in parallel with a surface of the sample; a vibration detecting unit for detecting a vibration state of the probe; a signal detecting unit for detecting an electrical characteristic signal between the probe and the sample; a control unit for controlling an interaction between the probe and the sample so that the interaction is brought close to a predetermined definite level; and a voltage applying unit for applying an AC/DC voltage to the sample.

BRIEF DESCRIPTION OF THE DRAWINGS

[0010] The present invention will be More clearly understood from the description set forth below, as compared with the prior art, with reference to the accompanying drawings, wherein:

[0011]FIG. 1 is a diagram illustrating a prior art scanning probe microscope;

[0012]FIG. 2A is a perspective view of the conductive probe unit of FIG. 1;

[0013]FIG. 2B is a cross-sectional view of the conductive probe of FIG. 1;

[0014]FIG. 3 is a diagram illustrating a principle of the scanning probe microscope according to the present invention;

[0015]FIG. 4 is a block circuit diagram illustrating a first embodiment of the scanning probe microscope according to the present invention;

[0016]FIG. 5 is a timing diagram showing the capacitance signal of the capacitance sensor of FIG. 4;

[0017]FIG. 6A is a diagram showing an image displayed on the “C” display unit of FIG. 4;

[0018]FIG. 6B is a diagram showing an image displayed on the dC/dV display unit of FIG. 4;

[0019]FIG. 7 is a cross-sectional view of the sample of FIG. 4;

[0020]FIGS. 8A and 8B are flowcharts showing operations of the control unit of FIG. 4;

[0021]FIG. 9 is a block circuit diagram illustrating a second embodiment of the scanning probe microscope according to the present invention; and

[0022]FIG. 10 is a block circuit diagram illustrating a third embodiment of the scanning probe microscope according to the present invention.

DESCRIPTION OF THE PREFERRED EMBODIMENTS

[0023] Before the description of the preferred embodiments, a prior art scanning probe microscope will be explained with reference to FIGS. 1, 2A and 2B (see: JP-A-8-54403).

[0024] In FIG. 1, which illustrates a prior art scanning probe microscope combined by an atomic force microscope and a scanning capacitance microscope, a sample 101 such as a semiconductor device is mounted on a piezoelectric element 102, so that the sample 101 can be moved along X-, Y- and Z-directions by the piezoelectric element 102. A conductive probe unit 103 is in proximity to the surface of the sample 101, and an AC/DC modulation voltage is applied by a voltage modulation circuit 104 connected between the sample 101 and the conductive probe unit 103. Also, a capacitance sensor 105 is connected between the conductive probe unit 103 and the voltage modulation circuit 104. The capacitance sensor 105 is constructed by an LC resonance circuit, an oscillation circuit and a detector including a diode. Further, a laser diode 106 irradiates the conductive probe unit 103 with light beams, and a detector 107 detects light beams reflected therefrom, thus detecting a displacement of the conductive probe unit 103.

[0025] As illustrated in FIG. 2A, which is a perspective view of the conductive probe unit 103 of FIG. 1, the conductive probe unit 103 is constructed by a cantilever 1031 having a sharp probe 1031 a at its free end and a holder 1032 for holding the cantilever 1031.

[0026] As illustrated in FIG. 2B, which is a cross-sectional view of the conductive probe unit 103 of FIG. 1, the cantilever 1031 associated with the probe 1031 a is constructed by a monocrystalline silicon substrate 201 covered by silicon oxide or silicon nitride (not shown) and an about 100 nm thick metal layer 202 made of Au, Pt/Ir or Co/Cr coated on the monocrystalline silicon substrate 201. Thus, the cantilever 1031 serves as a spring.

[0027] In the scanning probe microscope of FIGS. 1, 2A and 2B, the detector 107 detects the displacement of the conductive probe unit 103, i.e., the displacement of the cantilever 1031 by detecting light beams reflected from the cantilever 1031, so that a contact pressure of the probe 1031 a to the sample 101 is detected. On the other hand, the distance in the Z-direction between the sample 101 and the probe 1031 a is controlled by the piezoelectric element 101, so that the contact pressure of the probe 1031 a to the sample 101 is brought close to a definite value. Additionally, information regarding a capacitance between the sample 101 and the probe 1031 a is detected by the capacitance sensor 105. As a result, two-dimensional surface information of the sample 101 as well as two-dimensional capacitance information of the sample 101 can be obtained.

[0028] In the scanning probe microscope of FIGS. 1, 2A and 2B, however, since the metal layer 202 is so thin that the metal layer 202 has a high impedance, i.e., a low conductivity, the sensitivity of the capacitance sensor 105 is substantially decreased.

[0029] Also, since the cantilever 1031 has a larger surface of the metal layer 202 than that of the metal layer 202 of the probe 1031 a to create a large stray capacitance between the cantilever 1031 and the sample 101, a capacitance signal generated from the probe 1031 a is suppressed by the large stray capacitance. Thus, the signal to noise (S/N) ratio of the capacitance signal of the capacitance sensor 105 is deteriorated.

[0030] Further, since the radius of curvature of the tip portion of the probe 1031 a is large, the spatial resolution cannot be increased. In order to increase the spatial resolution, the metal layer 202 has to be made thinner to decrease the radius of curvature of the tip portion thereof; however, this further increases the impedance of the metal layer 202.

[0031] In addition, since the metal layer 202 is coated on the monocrystalline silicon substrate 201, the metal layer 202 is easily peeled off by the friction between the metal layer 202 and the sample 101.

[0032] Further, when a DC current flows between the probe 1031 a and the sample 101, Joule heat is generated and stays at the tip portion of the probe 1031 a to dissolve the metal layer 202 at the tip portion of the probe 1031 a. Thus, the conductivity of the metal layer 202 is decreased.

[0033] In FIG. 3, which illustrates a principle of the scanning probe microscope according to the present invention, a sample 1 such as a semiconductor device is mounted on a piezoelectric element 2, so that the sample 1 can be moved along X-, Y- and Z-directions by the piezoelectric element 2.

[0034] A conductive probe 3 is provided to be in proximity to the surface of the sample 1, The conductive probe 3 is constructed by about 20 to 100 μm-diameter metal wire made of W, Pt/Ir, Ni, Au or Ag and has a sharp end 3 a. The sharp end 3 a is formed by performing an electropolishing process upon the metal wire. In this case, the radius of curvature of the sharp end 3 a is adjusted by the concentration of electrolysis, the applied voltage or the time period during which the metal wire is immersed into the electrolysis, so that the radius of curvature of the sharp end 3 a is reproducibly realized. Note that an electrical discharge machining process can be used instead of the electropolishing process.

[0035] The conductive probe 3 is vibrated along the X-direction by a piezoelectric element 4 which is driven by an oscillator 5 whose frequency f₀ is 30 to 60 kHz. In this case, the piezoelectric element 4 is electrically isolated from the conductive probe 3. When the conductive probe 3 is vibrated by the piezoelectric element 4, the conductive probe 3 is vibrated approximately at a resonant state thereof. Simultaneously, the conductive probe 3 generates a current signal due to the piezoelectric effect of the piezoelectric element 4 caused by the vibration of the conductive probe 3.

[0036] Also, a detector 6 is provided to detect the vibration state of the conductive probe 3, to generate a detection signal in response to the amplitude of the vibration of the conductive probe 3 or the difference in phase between the vibration frequency of the conductive probe 3 and the frequency f₀ of the oscillator 5. The detector 6 is preferably in proximity to the piezoelectric element 4 or within the piezoelectric element 4. In order to effectively induce a resonant state on the conductive probe 3, the mass of the conductive probe 3 is preferably equivalent to that of the piezoelectric element 4. Also, if the piezoelectric element 4 has a natural resonant frequency as in a crystal oscillator, the conductive probe 3 is vibrated at this natural resonant frequency. In this case, in order not to deteriorate the resonance characteristics of the piezoelectric element 4, the mans of the conductive probe 3 is preferably as small as possible. A feedback control unit 9 is provided to receive the detection signal of the detector 6 and control the location Z of the sample 1 in accordance with the output signal of the detector 6, so that the amplitude of the vibration of the conductive probe 3 or the difference in phase between the vibration frequency of the conductive probe 3 and the frequency f₀ of the oscillator 5 is brought close to a predetermined definite value. Thus, a feedback control using the detector 6 and the feedback control unit 9 is performed upon the distance between the sample 1 and the conductive probe 3.

[0037] Further, an AC voltage V whose frequency f₁(>f₀) is 20 kHz to 10 MHz is applied by a voltage modulation circuit 7 to the sample 1. In this case, the frequencies f₀ and f₁ are preset so as not to interfere with each other. Note that the voltage modulation circuit 7 can apply a DC voltage to the sample 1.

[0038] Additionally, a sensor 8, which is a capacitance sensor or a current sensor, is connected to the conductive probe 3 to detect a capacitance between the conductive probe 3 and the sample 1 or a current flowing therethrough.

[0039] In the scanning probe microscope of FIG. 3, since the conductive probe 3 has a low impedance, i.e., a high conductivity, the sensitivity of the sensor 8 is substantially increased.

[0040] Also, since the conductive probe 3 has a small surface against the sample 1 to create only a small stray capacitance between the conductive probe 3 and the sample 1, a signal generated from the sharp end 3 a is hardly suppressed by the small stray capacitance. Thus, the S/N ratio of the sensor signal is not deteriorated.

[0041] Further, since the radius of curvature of the sharp end 3 a is small, the spatial resolution can be increased,

[0042] In addition, since the conductive probe 3 associated with the sharp edge 3 a is made of a single material such as W. Pt/Ir Ni, Au or Ag the sharp edge 3 a is hardly peeled off from the conductive probe 3 by the friction between the sharp edge 3 a and the sample 1.

[0043] Further, when a DC current flows between the sharp edge 3 a and the sample 1, Joule heat is generated; however, this heat is immediately transferred to the body of the conductive probe 3. As a result, the sharp edge 3 a is hardly dissolved. Thus, the conductivity of the conductive probe 3 is not decreased.

[0044] Embodiments of the present invention to which the principle of FIG. 3 is applied will be explained next with reference to FIGS. 4, 5, 6A, 6B, 7, 8A and 8B.

[0045] In FIG. 4, which illustrates a first embodiment of the scanning probe microscope according to the present invention, a capacitance sensor 8A serves as the sensor 8 of FIG. 3. Therefore, the scanning probe microscope of FIG. 4 is a scanning capacitance microscope.

[0046] In FIG. 4, the piezoelectric element 4 vibrates the conductive probe 3, and simultaneously, the piezoelectric element 4 generates a current signal due to the piezoelectric effect of the piezoelectric element 4 caused by the vibration of the conductive probe 3. A lock-in amplifier serving as the detector 6 of FIG. 3 detects the vibration amplitude of the conductive probe 3 or the difference in phase between the vibration frequency of the conductive probe 3 and the frequency f₀ of the oscillator 5 using the frequency f₀ of the oscillator 5 as a reference. Then, the output voltage of the lock-in amplifier 6 is supplied to an input of a servo circuit 9 which generates an output voltage Δ and transmits it to the-piezoelectric element 2. Note that the servo circuit 9 serves as the feedback control unit of FIG. 3. As a result, the location Z of the sample 1 is controlled by using the output voltage Δ of the servo circuit 9, so that the vibration amplitude of the conductive probe 3 or the difference in phase between the vibration frequency of the conductive probe 3 and the frequency f₀ of the oscillator 5 is brought close to a reference voltage V_(REF). Thus, the distance between the sharp edge 3 a of the conductive probe 3 and the sample 1 is brought close to a definite value.

[0047] In FIG. 4, since the vibration state of the conductive probe 3 is detected by the piezoelectric element 4, an optical system formed by the laser diode 106 and the detector 107 of FIG. 1 is unnecessary, and also, the sample 1, the conductive probe 3 and the like can be easily incorporated into a small vacuum chamber or cryostat.

[0048] Also, a computer 10 is provided for controlling the entire scanning probe microscope of FIG. 4, and a scan circuit 11 is connected between the computer 10 and the piezoelectric element 2 to move the sample 1 along the X- and Y- directions. As a result, the conductive probe 3 scans the sample 1 while the distance between the conductive probe 3 and the sample 1 is maintained at a definite value. In this case, the computer 10 stores the location Z of the sample 1 corresponding to the output voltage Δ of the servo circuit 9 in relation to the location of the conductive probe 3 in the X- and Y-directions in a memory thereof. For example, the scan circuit 11 is operated so that a 4 μm×4 μm area of the sample 1 is scanned by the conductive probe 3. Thus, a topographical image of the sample 1 using the location Z is obtained by the computer 10 on a “Z” display unit 12 as shown in FIG. 6A.

[0049] The capacitance sensor 8A generates a capacitance signal C relating to a capacitance between the conductive probe 3 and the sample 1. For example, if the sample 1 is constructed by a semiconductor device, the capacitance sensor 8A generates a capacitance signal C as shown in FIG. 5 in dependency upon a depletion region generated in the semiconductor device immediately below the conductive probe 3. Thus, the capacitance signal C is stored in the memory of the computer 10 in relation to the relative location of the conductive probe 3 in the X- and Y- directions. As a result, the capacitance of the sample 1 using the capacitance signal C is obtained by the computer 10 on the “C” display unit 13.

[0050] A lock-in amplifier 14 detects a dC/dV signal from the capacitance signal C of the capacitance sensor 8A using the frequency f₁ of the AC voltage of the voltage modulation circuit 7 as a reference, while a 4 μm×4 μm predetermined area of the sample 1 is scanned by the conductive probe 3 using the scan circuit 11. Thus, the dC/dV signal is stored in the memory of the computer 10 in relation to the relative location of the conductive probe 3 in the X- and Y-directions. As a result, a dC/dV image of the sample 1 is obtained by the computer 10 on a dC/dV display unit 15 as shown in FIG. 6B. In this case, if the sample 1 is a semiconductor device, the sign of the dC/dV signal indicates a polarity of depants in a depletion region immediately below the conductive probe 3, and the absolute value of the dC/dV signal indicates the concentration of stationary charges in the above-mentioned depletion region.

[0051] As shown in FIG. 5, the capacitance signal C of the capacitance sensor 8A is modulated by the vibration frequency of the conductive probe 3. Therefore, a lock-in amplifier 16 is provided to detect a dC/dX signal from the capacitance signal C of the capacitance sensor 8A using the frequency f₀ of the oscillator 5 as a reference, while a 4 μm×4 μm predetermined area of the sample 1 is scanned by the scan circuit 11. In this case, the dC/dX signal indicates a spatial differential component of the capacitance C with respect to a coordinate X for showing the vibration direction of the conductive probe 3. Thus, the dC/dX signal is stored in the memory of the computer 10 in relation to the relative location of the conductive probe 3 in the X- and Y-directions. As a result, a dC/dX image of the sample 1 is obtained by the computer 10 on a dC/dX display unit 17.

[0052] A lock-in amplifier 18 detects a d²C/dVdX signal from the signal dC/dX of the lock-in amplifier 16 using the frequency f₁ of the AC voltage of the voltage modulation circuit 7 as a reference, while a 4 μm×4 μm predetermined area of the sample 1 is scanned by the scan circuit 11. Thus, a d²C/dVdX signal is stored in the memory of the computer 10 in relation to the relative location of the conductive probe 3 in the X- and Y-directions. As a result, a d²C/dVdX image of the sample 1 is obtained by the computer 10 on a d²C/dVdX display unit 19.

[0053] In FIG. 4, if the sample 1 is made of semiconductor, metal, insulator and the like, a C image displayed on the “C” display unit 13 shows the distribution of each of the semiconductor, metal, insulator and the like. Also, as stated above, a dC/dV image displayed on the dC/dV display unit 15 shows the polarity and concentration of dopants in the sample 1 which is made of monocrystalline silicon, for example. Further, a dC/dV image displayed on the dC/dX display unit 17 shows a distribution of an insulator or the like in the sample 1 which distribution is not dependent upon the dC/dV component of the capacitance between the conductive probe 3 and the sample 1. Note that, since a C/dX image can be obtained without applying a voltage to the sample 1, a pn junction of a semiconductor substrate which is subject to a voltage applied thereto can be easily observed by the dC/dX image. Further, a d²C/dVdX image shows a spatial slop of a concentration of dopants in the sample 1.

[0054] Note that the above-mentioned images can be simultaneously obtained by one scanning operation of the conductive probe 3 upon the sample 1.

[0055] In FIG. 4, the d²C/dVdX signal is obtained by modulating the capacitance signal C of the capacitance sensor 8A in the frequency f₀ of the oscillator 5 and then detecting the demodulated signal by using the frequency f₁ of the AC voltage of the voltage modulation circuit 7, however, the d²C/dVdX signal can be obtained by modulating the capacitance signal C of the capacitance sensor 8A in the frequency f₁ of the AC voltage of the voltage modulation circuit 7 and then detecting the demodulated signal by using the frequency f₀ of the oscillator 5. In this case, the lock-in amplifier 16 is connected to a post stage of the lock-in amplifier 18.

[0056] Also, in FIG. 4, the output voltage Δ of the servo circuit 9 is applied to the piezoelectric element 2 to move the sample 1 in the Z-direction, so that the vibration amplitude of the conductive probe 3 or the difference in phase between the vibration frequency of the conductive probe 3 and the frequency f₀ of the oscillator 5 is brought close to the definite value V_(REF). However, this feedback control operation can be carried out so that other electrical characteristic signal such as the “C” signal, the dC/dV signal, the dC/dX signal or the d²C/dVdX signal can be brought close to the definits value V_(REF). In this case, the capacitance sensor 8A, the lock-in amplifier 14, the lock-in amplifier 16 or the lock-in amplifier 18 is connected to the servo circuit 9.

[0057] When the sample 1 is constructed by a monocrystalline silicon substrate 701 and a silicon oxide layer 702 formed thereon, as shown in FIG. 7, a concentration of majority carriers in equilibrium or a concentration of ionized dopants will be explained next.

[0058] In a metal-oxide-semiconductor (MOS) structure as illustrated in FIG. 7, a total capacitance C_(total) is given by:

C _(total) =C _(a) C _(o)/(C _(a) +C _(o))  (1)

[0059] where C_(s) is a capacitance of a depletion region generated in the silicon substrate 701; and

[0060] C_(o) is a capacitance of the silicon oxide layer 702.

[0061] Therefore,

dC _(total) /dV=C _(o) ²/(C _(a) +C _(o))²·(dC _(s) /dV)  (2)

[0062] Since dC_(n)/dV is dependent upon the concentration of majority carriers in equilibrium or the concentration of dopants, the concentration of majority carriers in equilibrium or the concentration of dopants can be estimated from a measured value of dC_(total)/dV. However, since the formula (2) is complex and the capacitance C_(o) of the silicon oxide layer 702 has to be obtained in advance, it is difficult to estimate the above-mentioned concentration from the formula (2).

[0063] The inventors have invented a technique for simply estimating the concentration of majority carriers in equilibrium or the concentration of dopants of the silicon substrate 701 of FIG. 7.

[0064] In FIG. 7, a voltage V applied to the silicon substrate 701 is divided as follows.

V=V _(s) +V _(o)   (3)

[0065] where V_(s) is a voltage applied to the depletion region; and

[0066] V_(o) is a voltage applied to the silicon oxide layer 702.

[0067] Also, the capacitance C_(s) is dependent upon the concentration p_(o) of majority carriers in equilibrium and the voltage V_(a), i.e.,

C_(a)=C_(s)(V_(s), p_(o))  (4)

[0068] Note that, if the silicon substrate 701 is of a p-type, p_(o) designates a hole concentration in equilibrium.

[0069] If C_(o) is definite, from formulae (1) and (4),

∂C _(total) /∂V=(∂C _(a)(V _(s) , p _(o))/∂V)·C _(o) ²/(C _(a)(V _(s) , p _(o))+C _(o))²   (5)

∂C _(total) /∂X=(∂C _(a)(V _(s) , p _(o))/∂X)·C _(o) ²/(C _(a)(V _(s) , p _(o))+C _(o))²   (6)

[0070] In order to remove C_(o) from formulae (5) and (6),

(∂C _(total) /∂X)/(∂C _(total) /∂V)=(∂C _(s)(V _(s) , p _(o))/∂X)/(∂C _(s)(V _(s), p_(o))/∂V)  (7)

[0071] Here, generally,

C_(s)(V_(s), p_(o))=|∂Q_(s)/∂V_(s)|  (8)

Q _(s)=2ε_(s)ε_(o) kT/eL _(D)·((e ^(−eVs/kT) +eV _(s) /kT−1)+n _(o) /p _(o)(e ^(eVs/kT) −eV _(s) /kT−1))^(½)  (9)

[0072] where Q_(s) is a charge per unit surface area of the silicon substrate 701;

[0073] ε_(a) is a permittivity of the silicon substrate 701;

[0074] ε₀ is a permittivity of free space;

[0075] k is Boltzmann constant;

[0076] T is an absolute temperature;

[0077] L_(D) is a Debye length;

[0078] n_(o) is a concentration of minority carriers such as electrons in equilibrium.

[0079] If the voltage V or V_(s) is small so as not to generate an inversion region in the silicon substrate 701,

[0080] eV_(a)/kT>>1

[0081] n_(o)<<p_(o)

[0082] Therefore, from formulae (8) and (9),

C _(s)(V _(s) , p _(o))=(ε_(a)ε_(o) /L _(D))(kT/e)^(½) V _(s) ^(−½)=ε_(s)ε_(o)(2ε_(s)ε_(o) kT/p _(o) e ²)^(−½)(kT/e)^(½) V _(s) ^(−½)  (10)

[0083] Also, the concentrations p_(o) and n_(o) in equilibrium are non-uniform along the X-direction, i.e.,

p_(o)=p_(o)(X)  (11)

n_(o)=n_(o)(X)  (12)

[0084] Therefore, from formulae (3), (7), (10), (11) and (12),

(∂C _(s)(V _(s) , p _(o))/∂X)/(∂C _(s)(V _(a) , p _(o))/∂V)=(∂C _(s)(V _(s) , X)/∂X)/(∂C _(s)(V _(a) , X)/∂V _(s))=−V _(n) p _(o) ⁻¹ dp _(o) /dX=−V _(s) d(ln p _(o)(X))/dX  (13)

[0085] In the formula (13), V_(s) is definite while the conductive probe 3 is scanning. Therefore, information regarding the slope of concentration p_(o) of majority carriers in equilibrium with respect to the X-direction, i.e., information regarding p_(o) ⁻¹dp_(o)/dX can be displayed as (dC/dX)/(dC/dV) by the computer 10 using a flowchart as shown in FIG. 8A. Also, information regarding ln p_(o)(X) can be displayed as an integration value of (dC/dX)/(dC/dV) with respect to the coordinate X by the computer 10 using a flowchart as shown in FIG. 8B.

[0086] On the other hand, the voltage V or V_(a) is large so as to generate an inversion region in the silicon substrate 701,

C _(a)(V _(s) , X)=(e N _(A)(X)ε_(a)ε_(o)/2)^(½) V _(a) ^(−½)  (14)

[0087] where N_(A) (X) is a concentration of ionized acceptor impurities. In this case, the formula (13) is rewritten as

(∂C _(s)(V _(a) , X)/∂X)/(∂C _(s)(V _(s) , X)/∂V)=−V _(a) N _(A) ⁻¹ dN _(A)(X)/dX=−V _(s) d(lnN _(A)(X)/dX  (15)

[0088] Even in the formula (15), V_(s) is definite while the conductive probe 3 is scanning. Therefore, information regarding the slope of concentration N_(A)(X) of ionized acceptor impurities with respect to the X-direction, i.e., information regarding N_(A) ⁻¹dN_(A)(X)/dX can be displayed as (dC/dX)/(dC/dV) with respect to the coordinate X by the computer 10 using a flowchart as shown in FIG. 8A. Also, information lnN_(A)(X) can be displayed by the computer 10 using a flowchart as shown in FIG. 8B.

[0089] In FIG. 9, which illustrates a second embodiment of the scanning probe microscope according to the present invention, a current sensor 8B serves as the sensor 8 of FIG. 3.

[0090] In FIG. 9, the piezoelectric element 4 vibrates the conductive probe 3, and simultaneously, the piezoelectric element 4 generates a current signal due to the piezoelectric effect of the piezoelectric element 4 caused by the vibration of the conductive probe 3. A lock-in amplifier serving as the detector 6 of FIG. 3 detects the vibration amplitude of the conductive probe 3 or the difference in phase between the vibration frequency of the conductive probe 3 and the frequency f₀ of the oscillator 5 using the frequency f₀ of the oscillator 5 as a reference. Then, the output voltage of the lock-in amplifier 6 is supplied to an input of a servo circuit 9 which generates an output voltage Δ and transmits it to the piezoelectric element 2. Note that the servo circuit 9 serves as the feedback control unit of FIG. 3. As a result, the location Z of the sample 1 is controlled by using the output voltage Δ of the servo circuit 9, so that the vibration amplitude of the conductive probe 3 or the difference in phase between the vibration frequency of the conductive probe 3 and the frequency f₀ of the oscillator 5 is brought close to a reference voltage V_(REF). Thus, the distance between the sharp edge 3 a of the conductive probe 3 and the sample 1 is brought close to a definite value.

[0091] In FIG. 9, since the vibration state of the conductive probe 3 is detected by the piezoelectric element 4, an optical system formed by the laser diode 106 and the detector 107 of FIG. 1 is unnecessary, and also, the sample 1, the conductive probe 3 and the like can be easily incorporated into a small vacuum chamber or cryostat.

[0092] Also, a computer 10 is provided for controlling the entire scanning probe microscope of FIG. 4, and a scan circuit 11 is connected between the computer 10 and the piezoelectric element 2 to move the sample 1 along the X- and Y- directions. As a result, the conductive probe 3 scans the sample 1 while the distance between the conductive probe 3 and the sample 1 is maintained at a definite value. In this case, the computer 10 stores the location Z of the sample 1 corresponding to the output voltage Δ of the servo circuit 9 in relation to the location of the conductive probe 3 in the X- and Y-directions in a memory thereof. For example, the scan circuit 11 is operated so that a 4 μm×4 μm area of the sample 1 is scanned by the conductive probe 3. Thus, a topographical image of the sample 1 using the location Z is obtained by the computer 10 on a “Z” display unit 12 as shown in FIG. 6A.

[0093] The current sensor 8A generates a current signal C relating to a current flowing through between the conductive probe 3 and the sample 1. Thus, the current signal I is stored in the memory of the computer 10 in relation to the relative location of the conductive probe 3 in the X- and Y-directions. As a result, the current flowing through the sample 1 using the current signal I is obtained by the computer 10 on the “I” display unit 13.

[0094] A lock-in amplifier 14′ detects a dI/dV signal from the current signal I of the current sensor 8B using the frequency f₁ of the AC voltage of the voltage modulation circuit 7 as a reference, while a 4 μm×4 μm predetermined area of the sample 1 is scanned by the conductive probe 3 using the scan circuit 11. Thus, the dI/dV signal is stored in the memory of the computer 10 in relation to the relative location of the conductive probe 3 in the X- and Y-directions. As a result, a dI/dV image of the sample 1 is obtained by the computer 10 on a dI/dV display unit 15.

[0095] As shown in FIG. 9, the current signal I of the current sensor 8B is modulated by the vibration frequency of the conductive probe 3. Therefore, a lock-in amplifier 16′ is provided to detect a dI/dX signal from the current signal I of the current sensor 8B using the frequency f₀ of the oscillator 5 as a reference, while a 4 μm×4 μm predetermined area of the sample 1 is scanned by the scan circuit 11. In this case, the dI/dX signal indicates a spatial differential component of the current I with respect to a coordinate X for showing the vibration direction of the conductive probe 3. Thus, the dI/dX signal is stored in the memory of the computer 10 in relation to the relative location of the conductive probe 3 in the X- and Y-directions. As a result, a dI/dX image of the sample 1 is obtained by the computer 10 on a dI/dX display unit 17′.

[0096] A lock-in amplifier 18′ detects a d² 1/dVdX signal from the signal dI/dX of the lock-in amplifier 16′ using the frequency f₁ of the AC voltage of the voltage modulation circuit 7 as a reference, while a 4 μm×4 μm predetermined area of the sample 1 is scanned by the scan circuit 11. Thus, a d² 1/dVdX signal is stored in the memory of the computer 10 in relation to the relative location of the conductive probe 3 in the X- and Y-directions. As a result, a d²I/dVdX image of the sample 1 is obtained by the computer 10 on a d²I/dVdX display unit 19.

[0097] In FIG. 4, if the sample 1 is made of semiconductor, metal, insulator and the like, an I image displayed on the “I” display unit 13′ shows the distribution of each of the semiconductor, metal, insulator and the like. Also, a dI/dV image displayed on the dI/dV display unit 15′ shows the distribution of in the sample 1. Further, a dI/dX image displayed on the dC/dX display unit 17′ shows boundaries of different electrical characteristics in the sample 1, Further, a d²I/dVdX image shows a spatial slope of conductivity in the sample 1.

[0098] Note that the above-mentioned images can be simultaneously obtained by one scanning operation of the conductive probe 3 upon the sample 1.

[0099] In FIG. 9, the d²I/dVdX signal is obtained by modulating the capacitance signal I of the current sensor 8B in the frequency f₀ of the oscillator 5 and then detecting the demodulated signal by using the frequency f₁ of the AC voltage of the voltage modulation circuit 7, however, the d²I/dVdX signal can be obtained by modulating the current signal I of the current sensor 8B in the frequency f₁ of the AC voltage of the voltage modulation circuit 7 and then detecting the demodulated signal by using the frequency f₀ of the oscillator 5. In this case, the lock-in amplifier 16′ is connected to a post stage of the lock-in amplifier 18′.

[0100] Also, in FIG. 9, the output voltage Δ of the servo circuit 9 is applied to the piezoelectric element 2 to move the sample 1 in the Z-direction, so that the vibration amplitude of the conductive probe 3 or the difference in phase between the vibration frequency of the conductive probe 3 and the frequency f₀ of the oscillator 5 is brought close to the definite value V_(REF). However, this feedback control operation can be carried out so that other electrical characteristic signal such as the “I” signal, the dI/dV signal, the dI/dX signal or the d²I/dVdX signal can be brought close to the definits value V_(REF). In this case, the current sensor 8B, the lock-in amplifier 14′, the lock-in amplifier 16′ or the lock-in amplifier 18′ is connected to the servo circuit 9.

[0101] In FIG. 10, which illustrates a third embodiment of the present invention, the scanning probe microscope of FIG. 4 is combined with that of FIG. 9, i.e., the capacitance sensor 8A and the current sensor 8B are both provided and are connected in parallel. As a result, a topographical image, a capacitance image, a dC/dV image, a dC/dX image, a d²C/dVdX and a (dC/dX)/(dC/dV) image as well as a current image, a dI/dV image, a dI/dX image and a d²I/dV/dX image can be obtained.

[0102] In the above-described embodiments, the conductive probe 3 is made of metal, the conductive probe 3 can be made of silicon into which dopants are highly doped. In this case, the microscope can detect a change of the Q-value of the vibration of the conductive probe 3 due to the electrical interaction between the conductive probe 3 and the sample 1. Also, the above-mentioned images obtained by changing the temperature of the conductive probe 3 and the sample 1.

[0103] As explained hereinabove, according to the present invention, since the conductive probe has a low impedance, the sensitivity of the sensor is substantially decreased. Also, since the conductive probe has a small surface against the sample, the S/N ratio of the sensor signal is not deteriorated. Further, since the radius of curvature of the sharp end of the conductive probe is small, the spatial resolution can be increased. In addition, since the conductive probe associated with its sharp edge is formed by a single material, the sharp edge is hardly peeled off from the conductive probe by the friction between the sharp edge and the sample.

[0104] Further, since Joule heat is immediately transferred to the conductive probe, the sharp edge thereof is hardly dissolved, and thus, the conductivity of the conductive probe is not decreased.

[0105] Additionally, for the sample and the conductive probe can be easily accommodated in a small vacuum chamber or cryostat.

[0106] Also, in a scanning probe microscope according to the present invention, the conductive probe is vibrated in parallel with the surface of a sample at a frequency f₀ and a detection system such as a capacitance sensor or a current sensor is connected to the conductive probe. Then, the output signal of the detection system is detected by using the frequency f₀ or the like, various kinds of images showing the electrical characteristics of the sample can be obtained.

[0107] Further, if the sample is formed by a semiconductor device information regarding the concentration of majority carriers in equilibrium and the concentration of ionized dopants can be easily obtained. 

1. A probe for use in a scanning probe microscope, comprising a single conductive material having a sharp end.
 2. The probe as set forth in claim 1, wherein said single conductive material comprises one of W, Pt/Ir, Ni, Au and Ag.
 3. A probe for use in a scanning probe microscope, comprising a single conductive wire having a sharp end.
 4. The probe as set forth in claim 3, wherein said single conductive wire comprises one of W, Pt/Ir, Ni, Au and Ag.
 5. A scanning probe microscope for a sample, comprising: a probe having a body and a sharp end, said body and said sharp end including a single conductive material; and a vibrating unit, provided at said body, for vibrating said sharp end along a direction approximately in parallel with a surface of said sample.
 6. The scanning probe microscope as set forth in claim 5, wherein said single conductive material comprises one of W, Pt/Ir, Ni, Au and Ag.
 7. The scanning probe microscope as set forth in claim 5, wherein said single conductive material comprises a wire.
 8. The scanning probe microscope as set forth in claim 5, wherein said vibrating unit comprises a piezoelectric element.
 9. The scanning probe microscope as set forth in claim 8, wherein said probe is electrically-isolated from said piezoelectric element.
 10. The scanning probe microscope as set forth in claim 5, wherein said probe is vibrated at a resonance frequency of said probe.
 11. The scanning probe microscope as set forth in claim 8, wherein said probe is vibrated at a resonance frequency of said piezoelectric element.
 12. The scanning probe microscope as set forth in claim 8, further comprising a detector, provided in a part of said piezoelectric element, for detecting a vibration state of said probe.
 13. The scanning probe microscope as set forth in claim 12, further comprising a feedback control unit, connected to said detector, for performing a feedback control operation upon a distance between said the sharp end of said probe and said sample in accordance with the detected vibration state of said detector, so that the detected vibration state is brought close to a predetermined definite value.
 14. A scanning probe microscope for a sample, comprising: a probe having a conductive sharp end; a moving unit for moving said sample along a Z-direction and moving said sample in X- and Y-directions; a vibrating unit for vibrating said probe along a direction approximately in parallel with a surface of said sample; a vibration detecting unit for detecting a vibration state of said probe; a signal detecting unit for detecting an electrical characteristic signal between said probe and said sample; a control unit for controlling an interaction between said probe and said sample so that the interaction is brought close to a predetermined definite level; and a voltage applying unit for applying an AC/DC voltage to said sample.
 15. The scanning probe microscope as set forth in claim 14, wherein said control unit comprises a feedback control unit for adjusting a distance between the sharp and of said probe and said sample so that the detected vibration state of said probe is brought close to a predetermined definite level.
 16. The scanning probe microscope as set forth in claim 14, wherein the detected vibration state of said probe is one of a resonance amplitude and a resonance frequency of said probe.
 17. The scanning probe microscope as set forth in claim 14, wherein the detected vibration state of said probe is one of a resonance amplitude and a resonance frequency of said vibrating unit.
 18. The scanning probe microscope as set forth in claim 14, wherein the detected vibration state of said probe is a signal relating to a Q-value of vibration of said probe.
 19. The scanning probe microscope as set forth in claim 14, wherein said control unit comprises a feedback control unit for adjusting a distance between the sharp and of said probe and said sample so that the detected electrical characteristic signal is brought close to a predetermined definite level.
 20. The scanning probe microscope as set forth in claim 14, wherein said signal detecting unit comprises; a detector for detecting a signal from said probe; a diode detector, connected to said detector, for detecting an output signal of said detector; and a frequency detector, connected to said diode detector, for detecting an output signal of said diode detector by using a frequency close to a vibration frequency of said probe as a reference.
 21. The scanning probe microscope as set forth in claim 14, wherein said signal detecting unit comprises; a detector for detecting a signal from said probe; a diode detector, connected to said detector, for detecting an output signal of said detector; and a frequency detector, connected to said diode detector, for detecting an output signal of said diode detector by using a frequency close to a frequency of said AC/DC voltage as a reference.
 22. The scanning probe microscope as set forth in claim 14, wherein said signal detecting unit comprises; a detector for detecting a signal from said probe; a diode detector, connected to said detector, for detecting an output signal of said detector; a first frequency detector, connected to said diode detector, for detecting an output signal of said diode detector by using a frequency close to a frequency of said AC/DC voltage as a reference; and a second frequency detector, connected to said diode detector, for detecting an output signal of said diode detector by using a frequency close to a frequency of said AC/DC voltage as a reference.
 23. The scanning probe microscope as set forth in claim 14, wherein said electrical characteristic signal shows a capacitance between said probe and said sample.
 24. The scanning probe microscope as set forth in claim 14, wherein said electrical characteristic signal shows a differential component of a capacitance between said probe and said sample with respect to an AC component of said AC/DC voltage.
 25. The scanning probe microscope as set forth in claim 14, wherein said electrical characteristic signal shows a differential component of a capacitance between said probe and said sample with respect to a vibration coordinate of said probe.
 26. The scanning probe microscope as set forth in claim 14, wherein said electrical characteristic signal shows a second-order differential component of a capacitance between said probe and said sample with respect to an AC component of said AC/DC voltage and a vibration coordinate of said probe.
 27. The scanning probe microscope as set forth in claim 14, wherein said electrical characteristic signal shows a current flowing through said probe and said sample.
 28. The scanning probe microscope as set forth in claim 14, wherein said electrical characteristic signal shows a differential component of a current flowing through said probe and said sample with respect to an AC component of said AC/DC voltage.
 29. The scanning probe microscope as set forth in claim 14, wherein said electrical characteristic signal shows a differential component of a current flowing through said probe and said sample with respect to a vibration coordinate of said probe.
 30. The scanning probe microscope as set forth in claim 14, wherein said electrical characteristic signal shows a second-order differential component of a current flowing through said probe and said sample with respect to an AC component of said AC/DC voltage and a vibration coordinate of said probe.
 31. The scanning probe microscope as set forth in claim 14, wherein said electrical characteristic signal is detected under a condition that said probe and said sample are incorporated into a vacuum chamber.
 32. The scanning probe microscope as set forth in claim 14, wherein said electrical characteristic signal is detected under a condition that a temperature of said probe and said sample is being changed.
 33. The scanning probe microscope as set forth in claim 15, further comprising a display unit for displaying a surface information of said sample in accordance with the adjusted distance.
 34. The scanning probe microscope as set forth in claim 19, further comprising a display unit for displaying the detected electrical characteristic signal.
 35. The scanning probe microscope as set forth in claim 14, wherein a frequency of an AC component of said AC/DC voltage is higher than a frequency of the vibration state of said probe.
 36. A scanning probe microscope for a sample, comprising: a conductive probe; a control unit for controlling a relative location of said probe to said sample; a voltage applying unit for applying a voltage between said probe and said sample; a capacitance detecting unit for detecting a capacitance information between said probe and said sample; a calculating unit for calculating a first differential component of said capacitance information with respect to said voltage; a calculating unit for calculating a second differential component of said capacitance information with respect to a coordinate; and a calculating unit for calculating a ratio of said second differential component to said first differential component.
 37. The scanning probe microscope as set forth in claim 36, further comprising a calculating unit for calculating an integration value of said ratio with respect to said coordinate.
 38. The scanning probe scanning microscope as set forth in claim 36, wherein said coordinate is in parallel with a surface of said sample, said microscope further comprising a vibrating unit for vibrating said conductive probe along said coordinate, so that the second differential component of said capacitance information is a component of said capacitance information changing at a vibration frequency of said conductive probe.
 39. The scanning probe microscope as set forth in claim 36, further comprising a calculating unit for converting said ratio into information regarding a concentration of majority carriers in equilibrium of said sample.
 40. The scanning probe microscope as set forth in claim 39, further comprising a display unit for displaying said majority carrier concentration information.
 41. The scanning probe scanning microscope as set forth in claim 36, further comprising a calculating unit for converting said ratio into information regarding a concentration of ionized dopants of said sample.
 42. The scanning probe microscope as set forth in claim 41, further comprising a display unit for displaying said ionized dopant concentration information.
 43. A method for controlling a scanning probe microscope for a ample, comprising: a probe having a conductive sharp end; a moving unit for moving said sample along a Z-direction and moving said sample in X- and Y-directions; a vibrating unit for vibrating said probe along a direction approximately in parallel with a, surface of said sample; a vibration detecting unit for detecting a vibration state of said probe; a signal detecting unit for detecting an electrical characteristic signal between said probe and said sample; a control unit for controlling an interaction between said probe and said sample so that the interaction is brought close to a predetermined definite level; and a voltage applying unit for applying an AC/DC voltage to said sample, said method comprising a step of adjusting a distance between the sharp and of said probe and said sample so that the detected vibration state of said probe is brought close to a predetermined definite level.
 44. A method for controlling a scanning probe microscope for a ample, comprising: a probe having a conductive sharp end; a moving unit for moving said sample along a Z-direction and moving said sample in X- and Y-directions; a vibrating unit for vibrating said probe along a direction approximately in parallel with a surface of said sample; a vibration detecting unit for detecting a vibration state of said probe; a signal detecting unit for detecting an electrical characteristic signal between said probe and said sample; a control unit for controlling an interaction between said probe and said sample so that the interaction is brought close to a predetermined definite level; and a voltage applying unit for applying an AC/DC voltage to said sample, said method comprising a step of adjusting a distance between the sharp and of said probe and said sample so that the detected electrical characteristic signal is brought close to a predetermined definite level.
 45. The method as set forth in claim 44, further comprising the steps of: detecting a signal from said probe by a detector diode-detecting an output signal of said detector by a diode; and detecting an output signal of said diode by using a frequency close to a vibration frequency of said probe as a reference.
 46. The method as set forth in claim 44, further comprising the steps of: detecting a signal from said probe by a detector; detecting an output signal of said detector by a diode; and detecting an output signal of said diode by using a frequency close to a frequency of an AC component of said AC/DC voltage as a reference.
 47. The method as set forth in claim 44, further comprising the steps of: detecting a signal from said probe by a detector; detecting an output signal of said detector by a diode; and detecting an output signal of said diode by using a frequency close to a frequency of an AC component of said AC/DC voltage as a reference and by using a frequency close to a vibration frequency of said probe as a reference.
 48. The method as set forth in claim 44, wherein said electrical characteristic signal is detected under a condition that said probe and said sample are incorporated into a vacuum chamber.
 49. The method as set forth in claim 44, wherein said electrical characteristic signal is detected under a condition that a temperature of said probe and said sample is being changed.
 50. The method as set forth in claim 43, wherein a frequency of the vibration state of said probe is lower than a frequency of an AC-component of said AC/DC voltage.
 51. The method as set forth in claim 44, wherein a frequency of the vibration state of said probe is lower than a frequency of an AC component of said AC/DC voltage.
 52. A scanning probe microscope for a sample, comprising: a moving unit for moving said sample in X-, Y- and Z-directions; a conductive probe approximately perpendicular to a surface of said sample and having a sharp end capable of being in proximity to the surface of said sample; an oscillator; a vibrating unit, connected to said oscillator, for vibrating said conductive probe in the X-direction in accordance with a frequency of said oscillator; a vibration detecting unit for detecting a vibration amplitude of said conductive probe to generate a vibration voltage; and a feedback control unit, connected between said vibration detecting unit and said moving unit, for controlling a location of said sample in the Z-direction in accordance with the detected vibration amplitude of said vibration detecting unit, so that the vibration amplitude of said vibrating detecting unit is brought close to a predetermined definite value.
 53. The scanning probe microscope as set forth in claim 52, wherein said vibration detecting unit comprises a first lock-in amplifier for detecting a vibration frequency of said conductive probe using the frequency of said oscillator to generate a difference in phase between the vibration frequency of said conductive probe and the frequency of said oscillator as the detected vibration amplitude, said feedback control unit comprising a servo circuit, connected to said first lock-in amplifier, for controlling the location of said sample in the Z-direction so that said difference in phase is brought close to a predetermined definite value.
 54. The scanning probe microscope as set forth in claim 52, further comprising a first display unit, for displaying the location of said sample in the Z-direction while a predetermined area of said sample in the X- and Y-directions is scanned by said conductive probe using said moving unit.
 55. The scanning probe microscope as set forth in claim 52, further comprising: an AC/DC voltage modulation circuit, connected to said sample, for supplying an AC/DC modulation voltage to said sample; and a sensor, connected to said conductive probe, for detecting an electrical characteristic signal showing a state of said sample immediately below the sharp end of said conductive probe.
 56. The scanning probe microscope as set forth in claim 55, wherein said sensor comprises a capacitance sensor.
 57. The scanning probe microscope as set forth in claim 56, further comprising a second display unit for displaying a capacitance signal of said capacitance sensor while a predetermined area of said sample in the X- and Y-directions is scanned by said conductive probe using said moving unit.
 58. The scanning probe microscope as set forth in claim 56, further comprising a second lock-in amplifier, connected to said capacitance sensor, for detecting a differential component of a capacitance signal of said capacitance sensor with respect to said AC/DC modulation voltage using a frequency thereof as a reference.
 59. The scanning probe microscope as set forth in claim 58, further comprising a third display unit for displaying the differential component of the capacitance signal of said capacitance sensor with respect to said AC/DC modulation voltage while a predetermined area of said sample in the X- and Y-directions is scanned by said conductive probe using said moving unit.
 60. The scanning probe microscope as set forth in claim 56, further comprising a third lock-in amplifier, connected to said capacitance sensor, for detecting a differential component of a capacitance signal of said capacitance sensor with respect to a vibration direction of said conductive probe using a frequency of said oscillator as a reference.
 61. The scanning probe microscope as set forth in claim 60, further comprising a fourth display unit for displaying the differential component of the capacitance signal of said capacitance sensor with respect to the vibration direction of said conductive probe while a predetermined area of said sample in the X- and Y-directions is scanned by said conductive probe using said moving unit.
 62. The scanning probe microscope as set forth in claim 60, further comprising a fourth lock-in amplifier, connected to said third lock-in amplifier, for detecting a second-order differential component of the capacitance signal of said capacitance sensor with respect to the vibration direction of said conductive probe and said AC/DC voltage by said AC/DC modulation voltage using a frequency thereof as a reference.
 63. The scanning probe microscope as set forth in claim 62, further comprising a fifth display unit for displaying the second-order differential component of the capacitance signal of said capacitance sensor while a predetermined area of said sample in the X- and Y-directions is scanned by said conductive probe using said moving unit.
 64. The scanning probe microscope as set forth in claim 56, further comprising: a second lock-in amplifier, connected to said capacitance sensor, for detecting a first differential component of a capacitance signal of said capacitance sensor with respect to said AC/DC modulation voltage using a frequency thereof as a reference; a third lock-in amplifier, connected to said capacitance sensor, for detecting a second differential component of a capacitance signal of said capacitance sensor with respect to a vibration direction of said conductive probe using a frequency of said oscillator as a reference; a computer, connected to said first and second lock-in amplifiers, for calculating a ratio of said second differential component to said first differential component; and a sixth display unit for displaying information relating to said ratio while a predetermined area of said sample in the X- and Y-directions is scanned by said conductive probe using said moving unit.
 65. The scanning probe microscope as set forth in claim 56, further comprising: a second lock-in amplifier, connected to said capacitance sensor, for detecting a first differential component of a capacitance signal of said capacitance sensor with respect to said AC/DC modulation voltage using a frequency thereof as a reference; a third lock-in amplifier, connected to said capacitance sensor, for detecting a second differential component of a capacitance signal of said capacitance sensor with respect to a vibration direction of said conductive probe using a frequency of said oscillator as a reference; a computer, connected to second and third lock-in amplifiers, for calculating a ratio of said second differential component to said first differential component and calculating an integration value of said ratio in the X-direction, a sixth display unit for displaying said integration value while a predetermined area of said sample in the X- and Y-directions is scanned by said conductive probe using said moving unit.
 66. The scanning probe microscope as set forth in claim 55, wherein said sensor comprises a current sensor.
 67. The scanning probe microscope as set forth in claim 66, further comprising a sixth display unit for displaying a current signal of said current sensor while a predetermined area of said sample in the X- and Y-directions is scanned by said conductive probe using said moving unit.
 68. The scanning probe microscope as set forth in claim 66, further comprising a fifth lock-in amplifier, connected to said current sensor, for detecting a differential component of a current signal of said current sensor with respect to a voltage of said AC/DC modulation voltage using a frequency thereof as a reference.
 69. The scanning probe microscope as set forth in claim 68, further comprising an eighth display unit for displaying the differential component of the current signal of said current sensor with respect to said AC/DC modulation voltage while a predetermined area of said sample in the X- and Y-directions is scanned by said conductive probe using said moving unit.
 70. The scanning probe microscope as set forth in claim 66, further comprising a sixth lock-in amplifier, connected to said current sensor, for detecting a differential component of a current signal of said current sensor with respect to a vibration direction of said conductive probe using a frequency of said oscillator as a reference.
 71. The scanning probe microscope as set forth in claim 70, further comprising a ninth display unit for displaying the differential component of the current signal of said current sensor with respect to the vibration direction of said conductive probe while a predetermined area of said sample in the X- and Y-directions is scanned by said conductive probe using said moving unit.
 72. The scanning probe microscope as set forth in claim 70, further comprising a seventh lock-in amplifier, connected to said sixth lock-in amplifier, for detecting a second-order differential component of the current signal of said current sensor with respect to the vibration direction of said conductive probe and said AC/DC voltage by a frequency of said oscillator as a reference and said AC/DC modulation voltage using a frequency thereof as a reference.
 73. The scanning probe microscope as set forth in claim 72, further comprising a tenth display unit for displaying the second-order differential component of the current signal of said current sensor while a predetermined area of said sample in the X- and Y-directions is scanned by said conductive probe using said moving unit.
 74. The scanning probe microscope as set forth in claim 55, wherein a frequency of said AC/DC modulation voltage is higher than a frequency of the vibrating unit,
 75. The scanning probe microscope as set forth in claim 64, wherein said ratio shows information regarding a slope of a concentration of majority carriers in equilibrium with respect to said vibration direction when said AC/DC modulation voltage is small so as not to generate an inversion region in said sample.
 76. The scanning probe microscope as set forth in claim 64, wherein said ratio shows information regarding a slope of a concentration of ionized dopants with respect to said vibration direction when said AC/DC modulation voltage is large so as to generate an inversion region in said sample.
 77. The scanning probe microscope as set forth in claim 65, wherein said integration value shows information regarding a logarithmic value of a concentration of majority carriers in equilibrium with respect to said vibration direction when said voltage is small so as not to generate an inversion region in said sample.
 78. The scanning probe microscope as set forth in claim 65, wherein said integration shows information regarding a logarithmic value of a concentration of ionized dopants with respect to said vibration direction when said voltage is large so as to generate an inversion region in said sample. 